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We derive model-independent, universal upper bounds on the Operator ProductExpansion (OPE) coefficients in unitary 4-dimensional Conformal Field Theories.The method uses the conformal block decomposition and the crossing symmetryconstraint of the 4-point function. In particular, the OPE coefficient of threeidentical dimension $d$ scalar primaries is found to be bounded by ~ 10(d-1)for 1<d<1.7. This puts strong limits on unparticle self-interaction crosssections at the LHC.

Rigorous Limits on the Interaction Strength in Quantum Field Theory